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Stinky Cow: Splash water on it using a bucket from the nearby well.

Depressed Cow: Use the /cheer emote near the cow.

Sleepy Cow: Use the /threaten emote near the cow.

Dignified Cow: Use the /bow emote near the cow.

Lonely Cow: Use the /sit emote near the cow.

Highly recommended to stick to these actions, as the bug-catching section seems to be tedious and time consuming at best.

If you are determined to do the bug catching, be aware of the following:

Do NOT simply click through all of Veska's dialogue. On the last line she tells you what bug you need to catch, and where you can find it. Be very careful because a lot of the bug's names are very similar.